1. (6 marks) Determine an equation for the tangent to the graph of each curve at the point that corresponds to the given value of x. a) y= (6x -3)(-x2 + 2), x=1 b) y = (-3x + 8)(x3 -7), x=2 2. (9 marks) Air is being pumped into a spherical balloon. The volume, V, in cubic centimetres, of the balloon is V = zar3, where the radius, r, is in centimetres. a) Determine the instantaneous rate of change of the volume of the balloon when its radius is 1.5 cm, 6 cm, and 9 cm. b) Sketch a graph of the curve and the tangents corresponding to each radius in part a). c) Find equations for the tangent lines